11526997735368 has 192 divisors, whose sum is σ = 32058482227200. Its totient is φ = 3739663105920.

The previous prime is 11526997735367. The next prime is 11526997735417. The reversal of 11526997735368 is 86353779962511.

11526997735368 is a `hidden beast` number, since 1 + 1 + 5 + 269 + 9 + 7 + 7 + 353 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 11526997735296 and 11526997735305.

It is not an unprimeable number, because it can be changed into a prime (11526997735361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1183586643 + ... + 1183596381.

It is an arithmetic number, because the mean of its divisors is an integer number (166971261600).

Almost surely, 2^{11526997735368} is an apocalyptic number.

11526997735368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11526997735368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16029241113600).

11526997735368 is an abundant number, since it is smaller than the sum of its proper divisors (20531484491832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11526997735368 is a wasteful number, since it uses less digits than its factorization.

11526997735368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11112 (or 11105 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 11526997735368 in words is "eleven trillion, five hundred twenty-six billion, nine hundred ninety-seven million, seven hundred thirty-five thousand, three hundred sixty-eight".